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On Saturday morning, Malachi will begin a camping vacation a

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Intern
Joined: 08 Oct 2007
Posts: 31
On Saturday morning, Malachi will begin a camping vacation a  [#permalink]

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30 Nov 2008, 06:16
2
00:00

Difficulty:

35% (medium)

Question Stats:

74% (00:56) correct 26% (01:00) wrong based on 115 sessions

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On Saturday morning, Malachi will begin a camping vacation and he will return home at the end of the first day on which it rains. If on the first three days of the vacation the probability of rain on each day is 0.2, what is the probability that Malachi will return home at the end of the day on the following Monday?

A. 0.008
B. 0.128
C. 0.488
D. 0.512
E. 0.640

OPEN DISCUSSION OF THIS QUESTION IS HERE: on-saturday-morning-malachi-will-begin-a-camping-vacation-100297.html
Manager
Joined: 18 Nov 2008
Posts: 103

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30 Nov 2008, 06:21
Quote:
On Saturday morning, Malachi will begin a camping vacation and he will return home at the end of the first day on which it rains. If on the first three days of the vacation the probability of rain on each day is 0.2, what is the probability that Malachi will return home at the end of the day on the following Monday?

A. 0.008
B. 0.128
C. 0.488
D. 0.512
E. 0.640

probability that will not rain is 1-0,2=0,8. Two days there won't rain, and on the third day, Monday, prob. of rain is 0,2. So, 0,8 x 0,8 x 0,2 = 0,128

B
Manager
Joined: 23 Nov 2008
Posts: 73

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30 Nov 2008, 06:23
1
2
Re-phrasing the question:
What is the probability of: Saturday: No rain, Sunday: No rain, Monday: Rain

Probablity of rain = 0.2
Therefore, probability of no rain = 0.8

0.8*0.8*0.2 = 0.128
Hence B
Math Expert
Joined: 02 Sep 2009
Posts: 52284
Re: On Saturday morning, Malachi will begin a camping vacation a  [#permalink]

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12 Jan 2014, 04:18
On Saturday morning, Malachi will begin a camping vacation and he will return home at the end of the first day on which it rains. If on the first three days of the vacation the probability of rain on each day is 0.2, what is the probability that Malachi will return home at the end of the day on the following Monday?

A. 0.008
B. 0.128
C. 0.488
D. 0.512
E. 0.640

We are looking for the probability of the following even NNR: no rain on first day, no rain on second day, rain on third day (Monday).

$$P(NNR)=0.8*0.8*0.2=0.128$$.

OPEN DISCUSSION OF THIS QUESTION IS HERE: on-saturday-morning-malachi-will-begin-a-camping-vacation-100297.html
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Joined: 09 Sep 2013
Posts: 9427
Re: On Saturday morning, Malachi will begin a camping vacation a  [#permalink]

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30 Jul 2018, 02:49
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Re: On Saturday morning, Malachi will begin a camping vacation a &nbs [#permalink] 30 Jul 2018, 02:49
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